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Finding the Fourth Proportional to 231,758.69, 319,826.95 and 128,399.65

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Solution

The fourth proportional to 231,758.69, 319,826.95 and 128,399.65 is: 177,191.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,758.69 : 319,826.95 = 128,399.65 : x
  2. Step 2: Convert to fraction form
    231,758.69/319,826.95 = 128,399.65/x
  3. Step 3: Cross multiply
    231,758.69x = 319,826.95 × 128,399.65
  4. Step 4: Simplify right side
    231,758.69x = 41,065,667,320.00
  5. Step 5: Solve for x
    x = 41,065,667,320.00/231,758.69
  6. Step 6: Final answer
    x = 177,191.49

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.